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112460646452 = 227112327315813
BaseRepresentation
bin110100010111100101…
…1010100100000110100
3101202021120112202201212
41220233023110200310
53320304411141302
6123355205540552
711060610502550
oct1505713244064
9352246482655
10112460646452
1143770115220
1219966a14758
13a7b322ab1b
14562bd0c860
152dd314d052
hex1a2f2d4834

112460646452 has 96 divisors (see below), whose sum is σ = 256174700544. Its totient is φ = 41888246400.

The previous prime is 112460646407. The next prime is 112460646469. The reversal of 112460646452 is 254646064211.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19343498 + ... + 19349310.

It is an arithmetic number, because the mean of its divisors is an integer number (2668486464).

Almost surely, 2112460646452 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112460646452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128087350272).

112460646452 is an abundant number, since it is smaller than the sum of its proper divisors (143714054092).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

112460646452 is a wasteful number, since it uses less digits than its factorization.

112460646452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8589 (or 8587 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 41.

The spelling of 112460646452 in words is "one hundred twelve billion, four hundred sixty million, six hundred forty-six thousand, four hundred fifty-two".

Divisors: 1 2 4 7 11 14 22 23 28 44 46 77 92 154 161 253 308 322 506 644 1012 1771 2731 3542 5462 5813 7084 10924 11626 19117 23252 30041 38234 40691 60082 62813 63943 76468 81382 120164 125626 127886 133699 162764 210287 251252 255772 267398 420574 439691 447601 534796 690943 841148 879382 895202 935893 1381886 1470689 1758764 1790404 1871786 2763772 2941378 3743572 4836601 5882756 9673202 10294823 15875303 19346404 20589646 31750606 41179292 63501212 111127121 174628333 222254242 349256666 365131969 444508484 698513332 730263938 1222398331 1460527876 2444796662 2555923783 4016451659 4889593324 5111847566 8032903318 10223695132 16065806636 28115161613 56230323226 112460646452